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Zh. Vychisl. Mat. Mat. Fiz., 2002, Volume 42, Number 8, Pages 1179–1190 (Mi zvmmf1151)  

This article is cited in 9 scientific papers (total in 9 papers)

Fifth-order four-stage method for numerical integration of special systems

I. V. Olemskoi

St. Petersburg State University, Faculty of Applied Mathematics and Control Processes

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English version:
Computational Mathematics and Mathematical Physics, 2002, 42:8, 1135–1145

Bibliographic databases:
UDC: 519.622
MSC: Primary 65L06; Secondary 34A34, 65L05
Received: 23.03.2001

Citation: I. V. Olemskoi, “Fifth-order four-stage method for numerical integration of special systems”, Zh. Vychisl. Mat. Mat. Fiz., 42:8 (2002), 1179–1190; Comput. Math. Math. Phys., 42:8 (2002), 1135–1145

Citation in format AMSBIB
\Bibitem{Ole02}
\by I.~V.~Olemskoi
\paper Fifth-order four-stage method for numerical integration of special systems
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2002
\vol 42
\issue 8
\pages 1179--1190
\mathnet{http://mi.mathnet.ru/zvmmf1151}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1945840}
\zmath{https://zbmath.org/?q=an:1060.65075}
\transl
\jour Comput. Math. Math. Phys.
\yr 2002
\vol 42
\issue 8
\pages 1135--1145


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    Erratum

    This publication is cited in the following articles:
    1. I. V. Olemskoi, “A fifth-order five-stage embedded method of the Dormand–Prince type”, Comput. Math. Math. Phys., 45:7 (2005), 1140–1150  mathnet  mathscinet  zmath
    2. Eremin A.S., “Modifikatsiya teorii pomechennykh derevev dlya strukturnogo metoda integrirovaniya sistem ODU”, Vestn. Sankt-Peterburgskogo un-ta. Ser. 10: Prikladnaya matematika, informatika, protsessy upravleniya, 2009, no. 2, 15–21
    3. A. S. Eremin, I. V. Olemskoǐ, “An embedded method for the integration of systems of structurally separated ordinary differential equations”, Comput. Math. Math. Phys., 50:3 (2010), 414–427  mathnet  crossref  mathscinet  adsnasa  isi
    4. I. V. Olemskoy, “Explicit nested methods of integration of systems of structurally separated ordinary differential equations of first and second order”, Vestn. S.-Peterburg. un-ta. Ser. 10. Prikl. matem. Inform. Prots. upr., 2014, no. 4, 64–71  mathnet
    5. Eremin A.S., Olemskoy I.V., “Functional continuous Runge?Kutta methods for special systems”, INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2015 (ICNAAM 2015) (Rhodes, Greece, 22?28 September 2015), AIP Conference Proceedings, 1738, eds. Simos T., Tsitouras C., Amer Inst Physics, 2016, 100003  crossref  isi  scopus
    6. Olemskoy I.V., Eremin A.S., “An embedded pair of method of orders 6(4) with 6 stages for special systems of ordinary differential equations”, INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2015 (ICNAAM 2015) (Rhodes, Greece, 22?28 September 2015), AIP Conference Proceedings, 1738, eds. Simos T., Tsitouras C., Amer Inst Physics, 2016, 160010  crossref  isi  scopus
    7. Eremin A.S., Kovrizhnykh N.A., “Continuous Extensions For Structural Runge-Kutta Methods”, Computational Science and Its Applications - Iccsa 2017, Pt II, Lecture Notes in Computer Science, 10405, eds. Gervasi O., Murgante B., Misra S., Borruso G., Torre C., Rocha A., Taniar D., Apduhan B., Stankova E., Cuzzocrea A., Springer International Publishing Ag, 2017, 363–378  crossref  mathscinet  isi  scopus
    8. I. V. Olemskoi, N. A. Kovrizhnykh, “Semeistvo shestietapnykh metodov shestogo poryadka”, Vestn. S.-Peterburg. un-ta. Ser. 10. Prikl. matem. Inform. Prots. upr., 14:3 (2018), 215–229  mathnet  crossref  elib
    9. Eremin A.S. Kovrizhnykh N.A. Olemskoy V I., “An Explicit One-Step Multischeme Sixth Order Method For Systems of Special Structure”, Appl. Math. Comput., 347 (2019), 853–864  crossref  isi
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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